Sensitivity analysis in periodic matrix models : A postscript to caswell and trevisan

Periodic matrix population models are a useful approach to modelling cyclic variations in demographic rates. Caswell and Trevisan [1] introduced the perturbation analysis (sensitivities and elasticities) of the per-cycle population growth rate for such models. Although powerful, their method can be time-consuming when the dimension of the matrices is large or when cycles are composed of many phases. We present a more efficient method, based on a very simple matrix product. We compared the two methods for matrices of different sizes. We observed a reduction in calculation time on the order of 24% with the new method for a set of 26 within-year Leslie matrices of size 287 x 287. The time saving may become particularly significant when sensitivities are used in Monte Carlo or bootstrap simulations.

Bibliographic Details

Main Authors:	Lesnoff, Matthieu, Ezanno, Pauline, Caswell, Hal
Format:	article biblioteca
Language:	eng
Subjects:	U10 - Informatique, mathématiques et statistiques, modèle mathématique, dynamique des populations, technique analytique, Élasticité, http://aims.fao.org/aos/agrovoc/c_24199, http://aims.fao.org/aos/agrovoc/c_6111, http://aims.fao.org/aos/agrovoc/c_1513, http://aims.fao.org/aos/agrovoc/c_26777,
Online Access:	http://agritrop.cirad.fr/514743/ http://agritrop.cirad.fr/514743/1/514743.pdf
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